2656448640 has 192 divisors, whose sum is σ = 9201591360. Its totient is φ = 706185216.

The previous prime is 2656448623. The next prime is 2656448647. The reversal of 2656448640 is 468446562.

2656448640 is a `hidden beast` number, since 2 + 6 + 564 + 4 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2656448647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2804647 + ... + 2805593.

It is an arithmetic number, because the mean of its divisors is an integer number (47924955).

Almost surely, 2^2656448640 is an apocalyptic number.

2656448640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2656448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600795680).

2656448640 is an abundant number, since it is smaller than the sum of its proper divisors (6545142720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2656448640 is a wasteful number, since it uses less digits than its factorization.

2656448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 2656448640 is about 51540.7473752564. The cubic root of 2656448640 is about 1384.9490856094.

The spelling of 2656448640 in words is "two billion, six hundred fifty-six million, four hundred forty-eight thousand, six hundred forty".